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A120569 Number of isosceles triangles with integer sides and inradius n. 1

%I #8 Jul 08 2013 18:36:03

%S 0,0,1,1,0,1,0,1,1,1,0,3,0,0,2,1,0,1,0,2,2,0,0,5,0,0,1,1,0,3,0,1,1,0,

%T 1,4,0,0,1,3,0,3,0,1,2,0,0,5,0,1,1,1,0,1,1,1,1,0,0,8,0,0,3,1,0,1,0,1,

%U 1,2,0,6,0,0,2,1,0,2,0,3,1,0,0,6,0,0,1,1,0,4,0,1,1,0,0,5,0,0,2,2,0,1,0,1,5

%N Number of isosceles triangles with integer sides and inradius n.

%D Mohammad K. Azarian, Circumradius and Inradius, Problem S125, Math Horizons, Vol. 15, Issue 4, April 2008, p. 32. Solution published in Vol. 16, Issue 2, November 2008, p. 32.

%H David W. Wilson, <a href="/A120569/b120569.txt">Table of n, a(n) for n = 1..10000</a>

%e a(24) = 5 because 5 integer-sided isosceles triangles, namely (a,b,c) = (80,80,96), (80,85,85), (90,90,144), (130,130,240), (175,175,336), have inradius 24.

%Y See A120062 for sequences related to integer-sided triangles with integer inradius n.

%K nonn

%O 1,12

%A _David W. Wilson_, Jun 17 2006

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